What is the derivative of (40/(x^5)) ?

The derivative of (40/(x^5)) is -(200)/(x^6)

What is the first derivative of (40/(x^5)) ?

The first derivative of (40/(x^5)) is -(200)/(x^6)

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\frac{d}{d x} (\frac{40}{x ^{5}})

- \frac{200}{x ^{6}}

Solution steps

\frac{d}{d x} (\frac{40}{x ^{5}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 40 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 40 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 40 (- 5 x^{- 5 - 1})

Simplify

40 (- 5 x^{- 5 - 1}) : - \frac{200}{x ^{6}}

= - \frac{200}{x ^{6}}

\frac{\partial}{\partial x} (- y e^{x})

\frac{d}{d z} (ln (\frac{d ^{2} - z ^{2}}{d ^{2} + z ^{2}}))

\frac{x}{9 - x ^{2}}

x \to - 3 lim (- 1.2 x - 4.6)

\frac{d}{d x} (\frac{x ^{2}}{1 + 6 x})

What is the derivative of (40/(x^5)) ?
The derivative of (40/(x^5)) is -(200)/(x^6)
What is the first derivative of (40/(x^5)) ?
The first derivative of (40/(x^5)) is -(200)/(x^6)